Target detection for THz radar based on information geometry

Information geometry, a new discipline direction originated from differential geometry in the area of mathematics, studies the probability and information problems, and provides a new solution method to solve the problems in radar signal processing. In the current study, radar echoes were usually modeled as the complex multivariate Gaussian distribution. We propose a kind of CFAR detector for THz radar based on information geometry, and analyze its detection performance. Simulations show that the detection performance of the new geometry approach is better than the conventional detection method in THz band, which is helpful to further research on target recognition and parameter estimation in THz band based on information geometry.

[1]  Shun-ichi Amari,et al.  Methods of information geometry , 2000 .

[2]  N. Čencov Statistical Decision Rules and Optimal Inference , 2000 .

[3]  Shlomo Dubnov,et al.  On the Information Geometry of Audio Streams With Applications to Similarity Computing , 2011, IEEE Transactions on Audio, Speech, and Language Processing.

[4]  P. Thomas Fletcher,et al.  Statistics of shape via principal geodesic analysis on Lie groups , 2003, 2003 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2003. Proceedings..

[5]  Xavier Pennec,et al.  Intrinsic Statistics on Riemannian Manifolds: Basic Tools for Geometric Measurements , 2006, Journal of Mathematical Imaging and Vision.

[6]  Maher Moakher,et al.  A Differential Geometric Approach to the Geometric Mean of Symmetric Positive-Definite Matrices , 2005, SIAM J. Matrix Anal. Appl..

[7]  C. R. Rao,et al.  Information and the Accuracy Attainable in the Estimation of Statistical Parameters , 1992 .

[8]  Frédéric Barbaresco,et al.  Interactions between Symmetric Cone and Information Geometries: Bruhat-Tits and Siegel Spaces Models for High Resolution Autoregressive Doppler Imagery , 2009, ETVC.

[9]  Rachid Deriche,et al.  Statistics on the Manifold of Multivariate Normal Distributions: Theory and Application to Diffusion Tensor MRI Processing , 2006, Journal of Mathematical Imaging and Vision.

[10]  F. Barbaresco,et al.  Diffusive CFAR & its extension for Doppler and Polarimetric data , 2007 .

[11]  Frederic Barbaresco Geometric Radar Processing based on Fréchet distance: Information geometry versus Optimal Transport Theory , 2011, 2011 12th International Radar Symposium (IRS).

[12]  Felix Opitz,et al.  From differential to information geometry , 2010, 2010 2nd International Workshop on Cognitive Information Processing.

[13]  Anand Rangarajan,et al.  An information geometry approach to shape density Minimum Description Length model selection , 2011, 2011 IEEE International Conference on Computer Vision Workshops (ICCV Workshops).